SHS/pip
4
3
Fork 0
Code Issues 67 Pull Requests 1 Actions Releases Wiki Activity

space correction

Browse Source
This commit is contained in:
Шишов Максим Денисович
2020-09-03 15:50:41 +03:00
parent 9544d5ef0d
commit 8e7d7a54c4
1 changed files with 427 additions and 420 deletions
Download Patch File Download Diff File Expand all files Collapse all files

847
libs/main/math/pimathmatrix.h
View File

@@ -59,313 +59,320 @@ inline bool _PIMathMatrixNullCompare<complexd >(const complexd v) {
//! \brief A class that works with square matrix operations, the input data of which are columns, rows and the data type of the matrix
template<uint Rows, uint Cols = Rows, typename Type = double>
class PIP_EXPORT PIMathMatrixT {
typedef PIMathMatrixT<Rows, Cols, Type> _CMatrix;
typedef PIMathMatrixT<Cols, Rows, Type> _CMatrixI;
typedef PIMathVectorT<Rows, Type> _CMCol;
typedef PIMathVectorT<Cols, Type> _CMRow;
static_assert(std::is_arithmetic<Type>::value, "Type must be arithmetic");
static_assert(Rows > 0, "Row count must be > 0");
static_assert(Cols > 0, "Column count must be > 0");
typedef PIMathMatrixT<Rows, Cols, Type> _CMatrix;
typedef PIMathMatrixT<Cols, Rows, Type> _CMatrixI;
typedef PIMathVectorT<Rows, Type> _CMCol;
typedef PIMathVectorT<Cols, Type> _CMRow;
static_assert(std::is_arithmetic<Type>::value, "Type must be arithmetic");
static_assert(Rows > 0, "Row count must be > 0");
static_assert(Cols > 0, "Column count must be > 0");
public:
PIMathMatrixT() {resize(Rows, Cols);}
PIMathMatrixT(const PIVector<Type> & val) {resize(Rows, Cols); int i = 0; PIMM_FOR_I_WB(r, c) m[r][c] = val[i++];}
/**
* @brief Сreates a matrix whose main diagonal is filled with ones and the remaining elements are zeros
*
* @return identitied matrix of type PIMathMatrixT
*/
/**
* @brief Сreates a matrix whose main diagonal is filled with ones and the remaining elements are zeros
*
* @return identitied matrix of type PIMathMatrixT
*/
static _CMatrix identity() {_CMatrix tm = _CMatrix(); PIMM_FOR_WB(r, c) tm.m[r][c] = (c == r ? Type(1) : Type(0)); return tm;}
/**
* @brief Creates a matrix that is filled with elements
*
* @param v is a parameter the type and value of which is selected and later filled into the matrix
* @return filled matrix of type PIMathMatrixT
*/
/**
* @brief Creates a matrix that is filled with elements
*
* @param v is a parameter the type and value of which is selected and later filled into the matrix
* @return filled matrix of type PIMathMatrixT
*/
static _CMatrix filled(const Type & v) {_CMatrix tm; PIMM_FOR_WB(r, c) tm.m[r][c] = v; return tm;}
/**
* @brief Rotation the matrix by an "angle". Works only with 2x2 matrix, else return _CMatrix
*
* @param angle is the angle of rotation of the matrix
* @return rotated matrix
*/
/**
* @brief Rotation the matrix by an "angle". Works only with 2x2 matrix,
* else return default construction of PIMathMatrixT
*
* @param angle is the angle of rotation of the matrix
* @return rotated matrix
*/
static _CMatrix rotation(double angle) {return _CMatrix();}
/**
* @brief Rotation of the matrix by an "angle" along the X axis. Works only with 3x3 matrix, else return _CMatrix
*
* @param angle is the angle of rotation of the matrix along the X axis
* @return rotated matrix
*/
/**
* @brief Rotation of the matrix by an "angle" along the X axis. Works only with 3x3 matrix,
* else return default construction of PIMathMatrixT
*
* @param angle is the angle of rotation of the matrix along the X axis
* @return rotated matrix
*/
static _CMatrix rotationX(double angle) {return _CMatrix();}
/**
* @brief Rotation of the matrix by an "angle" along the Y axis. Works only with 3x3 matrix, else return _CMatrix
*
* @param angle is the angle of rotation of the matrix along the Y axis
* @return rotated matrix
*/
/**
* @brief Rotation of the matrix by an "angle" along the Y axis. Works only with 3x3 matrix,
* else return default construction of PIMathMatrixT
*
* @param angle is the angle of rotation of the matrix along the Y axis
* @return rotated matrix
*/
static _CMatrix rotationY(double angle) {return _CMatrix();}
/**
* @brief Rotation of the matrix by an "angle" along the Z axis. Works only with 3x3 matrix, else return _CMatrix
*
* @param angle is the angle of rotation of the matrix along the Z axis
* @return rotated matrix
*/
/**
* @brief Rotation of the matrix by an "angle" along the Z axis. Works only with 3x3 matrix,
* else return default construction of PIMathMatrixT
*
* @param angle is the angle of rotation of the matrix along the Z axis
* @return rotated matrix
*/
static _CMatrix rotationZ(double angle) {return _CMatrix();}
/**
* @brief Scaling the matrix along the X axis by the value "factor". Works only with 3x3 and 2x2 matrix, else return _CMatrix
*
* @param factor is the value of scaling by X axis
* @return rotated matrix
*/
/**
* @brief Scaling the matrix along the X axis by the value "factor". Works only with 3x3 and 2x2 matrix,
* else return default construction of PIMathMatrixT
*
* @param factor is the value of scaling by X axis
* @return rotated matrix
*/
static _CMatrix scaleX(double factor) {return _CMatrix();}
/**
* @brief Scaling the matrix along the Y axis by the value "factor". Works only with 3x3 and 2x2 matrix, else return _CMatrix
*
* @param factor is the value of scaling by Y axis
* @return rotated matrix
*/
/**
* @brief Scaling the matrix along the Y axis by the value "factor". Works only with 3x3 and 2x2 matrix,
* else return default construction of PIMathMatrixT
*
* @param factor is the value of scaling by Y axis
* @return rotated matrix
*/
static _CMatrix scaleY(double factor) {return _CMatrix();}
/**
* @brief Scaling the matrix along the Z axis by the value "factor". Works only with 3x3 matrix, else return _CMatrix
*
* @param factor is the value of scaling by Z axis
* @return rotated matrix
*/
/**
* @brief Scaling the matrix along the Z axis by the value "factor". Works only with 3x3 matrix,
* else return default construction of PIMathMatrixT
*
* @param factor is the value of scaling by Z axis
* @return rotated matrix
*/
static _CMatrix scaleZ(double factor) {return _CMatrix();}
/**
* @brief Method which returns number of columns in matrix
*
* @return type uint shows number of columns
*/
/**
* @brief Method which returns number of columns in matrix
*
* @return type uint shows number of columns
*/
uint cols() const {return Cols;}
/**
* @brief Method which returns number of rows in matrix
*
* @return type uint shows number of rows
*/
/**
* @brief Method which returns number of rows in matrix
*
* @return type uint shows number of rows
*/
uint rows() const {return Rows;}
/**
* @brief Method which returns the selected column in PIMathVectorT format
*
* @param index is the number of the selected column
* @return column in PIMathVectorT format
*/
/**
* @brief Method which returns the selected column in PIMathVectorT format
*
* @param index is the number of the selected column
* @return column in PIMathVectorT format
*/
_CMCol col(uint index) {_CMCol tv; PIMM_FOR_R(i) tv[i] = m[i][index]; return tv;}
/**
* @brief Method which returns the selected row in PIMathVectorT format
*
* @param index is the number of the selected row
* @return row in PIMathVectorT format
*/
/**
* @brief Method which returns the selected row in PIMathVectorT format
*
* @param index is the number of the selected row
* @return row in PIMathVectorT format
*/
_CMRow row(uint index) {_CMRow tv; PIMM_FOR_C(i) tv[i] = m[index][i]; return tv;}
/**
* @brief Set the selected column in matrix
*
* @param index is the number of the selected column
* @param v is a vector of the type _CMCol that needs to fill the column
* @return matrix type _CMatrix
*/
/**
* @brief Set the selected column in matrix
*
* @param index is the number of the selected column
* @param v is a vector of the type _CMCol that needs to fill the column
* @return matrix type _CMatrix
*/
_CMatrix & setCol(uint index, const _CMCol & v) {PIMM_FOR_R(i) m[i][index] = v[i]; return *this;}
/**
* @brief Set the selected row in matrix
*
* @param index is the number of the selected row
* @param v is a vector of the type _CMCol that needs to fill the row
* @return matrix type _CMatrix
*/
/**
* @brief Set the selected row in matrix
*
* @param index is the number of the selected row
* @param v is a vector of the type _CMCol that needs to fill the row
* @return matrix type _CMatrix
*/
_CMatrix & setRow(uint index, const _CMRow & v) {PIMM_FOR_C(i) m[index][i] = v[i]; return *this;}
/**
* @brief Method which changes selected rows in a matrix
*
* @param r0 is the number of the first selected row
* @param r1 is the number of the second selected row
* @return matrix type _CMatrix
*/
/**
* @brief Method which changes selected rows in a matrix
*
* @param r0 is the number of the first selected row
* @param r1 is the number of the second selected row
* @return matrix type _CMatrix
*/
_CMatrix & swapRows(uint r0, uint r1) {Type t; PIMM_FOR_C(i) {t = m[r0][i]; m[r0][i] = m[r1][i]; m[r1][i] = t;} return *this;}
/**
* @brief Method which changes selected columns in a matrix
*
* @param c0 is the number of the first selected column
* @param c1 is the number of the second selected column
* @return matrix type _CMatrix
*/
/**
* @brief Method which changes selected columns in a matrix
*
* @param c0 is the number of the first selected column
* @param c1 is the number of the second selected column
* @return matrix type _CMatrix
*/
_CMatrix & swapCols(uint c0, uint c1) {Type t; PIMM_FOR_R(i) {t = m[i][c0]; m[i][c0] = m[i][c1]; m[i][c1] = t;} return *this;}
/**
* @brief Method which fills the matrix with selected value
*
* @param v is a parameter the type and value of which is selected and later filled into the matrix
* @return filled matrix type _CMatrix
*/
/**
* @brief Method which fills the matrix with selected value
*
* @param v is a parameter the type and value of which is selected and later filled into the matrix
* @return filled matrix type _CMatrix
*/
_CMatrix & fill(const Type & v) {PIMM_FOR_WB(r, c) m[r][c] = v; return *this;}
/**
* @brief Method which checks if matrix is square
*
* @return true if matrix is square, else false
*/
/**
* @brief Method which checks if matrix is square
*
* @return true if matrix is square, else false
*/
bool isSquare() const {return cols() == rows();}
/**
* @brief Method which checks if main diagonal of matrix consists of ones and another elements are zeros
*
* @return true if matrix is identitied, else false
*/
/**
* @brief Method which checks if main diagonal of matrix consists of ones and another elements are zeros
*
* @return true if matrix is identitied, else false
*/
bool isIdentity() const {PIMM_FOR_WB(r, c) if ((c == r) ? m[r][c] != Type(1) : m[r][c] != Type(0)) return false; return true;}
/**
* @brief Method which checks if every elements of matrix are zeros
*
* @return true if matrix is null, else false
*/
/**
* @brief Method which checks if every elements of matrix are zeros
*
* @return true if matrix is null, else false
*/
bool isNull() const {PIMM_FOR_WB(r, c) if (m[r][c] != Type(0)) return false; return true;}
/**
* @brief Full access to elements reference by row "row" and col "col"
*
* @param row is a parameter that shows the row number of the matrix of the selected element
* @param col is a parameter that shows the column number of the matrix of the selected element
* @return reference to element of matrix by row "row" and col "col"
*/
/**
* @brief Full access to elements reference by row "row" and col "col"
*
* @param row is a parameter that shows the row number of the matrix of the selected element
* @param col is a parameter that shows the column number of the matrix of the selected element
* @return reference to element of matrix by row "row" and col "col"
*/
Type & at(uint row, uint col) {return m[row][col];}
/**
* @brief Full access to element by row "row" and col "col"
*
* @param row is a parameter that shows the row number of the matrix of the selected element
* @param col is a parameter that shows the column number of the matrix of the selected element
* @return element of matrix by row "row" and col "col"
*/
/**
* @brief Full access to element by row "row" and col "col"
*
* @param row is a parameter that shows the row number of the matrix of the selected element
* @param col is a parameter that shows the column number of the matrix of the selected element
* @return element of matrix by row "row" and col "col"
*/
Type at(uint row, uint col) const {return m[row][col];}
/**
* @brief Full access to the matrix row pointer
*
* @param row is a row of necessary matrix
* @return matrix row pointer
*/
/**
* @brief Full access to the matrix row pointer
*
* @param row is a row of necessary matrix
* @return matrix row pointer
*/
Type * operator [](uint row) {return m[row];}
/**
* @brief Read-only access to the matrix row pointer
*
* @param row is a row of necessary matrix
* @return matrix row pointer
*/
/**
* @brief Read-only access to the matrix row pointer
*
* @param row is a row of necessary matrix
* @return matrix row pointer
*/
const Type * operator [](uint row) const {return m[row];}
/**
* @brief Matrix assignment to matrix "sm"
*
* @param sm matrix for the assigment
* @return matrix equal with sm
*/
/**
* @brief Matrix assignment to matrix "sm"
*
* @param sm matrix for the assigment
* @return matrix equal with sm
*/
_CMatrix & operator =(const _CMatrix & sm) {memcpy(m, sm.m, sizeof(Type) * Cols * Rows); return *this;}
/**
* @brief Compare with matrix "sm"
*
* @param sm matrix for the compare
* @return if matrices are equal true, else false
*/
/**
* @brief Compare with matrix "sm"
*
* @param sm matrix for the compare
* @return if matrices are equal true, else false
*/
bool operator ==(const _CMatrix & sm) const {PIMM_FOR_WB(r, c) if (m[r][c] != sm.m[r][c]) return false; return true;}
/**
* @brief Compare with matrix "sm"
*
* @param sm matrix for the compare
* @return if matrices are not equal true, else false
*/
/**
* @brief Compare with matrix "sm"
*
* @param sm matrix for the compare
* @return if matrices are not equal true, else false
*/
bool operator !=(const _CMatrix & sm) const {return !(*this == sm);}
/**
* @brief Addition assignment with matrix "sm"
*
* @param sm matrix for the addition assigment
*/
/**
* @brief Addition assignment with matrix "sm"
*
* @param sm matrix for the addition assigment
*/
void operator +=(const _CMatrix & sm) {PIMM_FOR_WB(r, c) m[r][c] += sm.m[r][c];}
/**
* @brief Subtraction assignment with matrix "sm"
*
* @param sm matrix for the subtraction assigment
*/
/**
* @brief Subtraction assignment with matrix "sm"
*
* @param sm matrix for the subtraction assigment
*/
void operator -=(const _CMatrix & sm) {PIMM_FOR_WB(r, c) m[r][c] -= sm.m[r][c];}
/**
* @brief Multiplication assignment with value "v"
*
* @param v value for the multiplication assigment
*/
/**
* @brief Multiplication assignment with value "v"
*
* @param v value for the multiplication assigment
*/
void operator *=(const Type & v) {PIMM_FOR_WB(r, c) m[r][c] *= v;}
/**
* @brief Division assignment with value "v"
*
* @param v value for the division assigment
*/
/**
* @brief Division assignment with value "v"
*
* @param v value for the division assigment
*/
void operator /=(const Type & v) {PIMM_FOR_WB(r, c) m[r][c] /= v;}
/**
* @brief Matrix substraction
*
* @return the result of matrix substraction
*/
/**
* @brief Matrix substraction
*
* @return the result of matrix substraction
*/
_CMatrix operator -() const {_CMatrix tm; PIMM_FOR_WB(r, c) tm.m[r][c] = -m[r][c]; return tm;}
/**
* @brief Matrix addition
*
* @param sm is matrix term
* @return the result of matrix addition
*/
/**
* @brief Matrix addition
*
* @param sm is matrix term
* @return the result of matrix addition
*/
_CMatrix operator +(const _CMatrix & sm) const {_CMatrix tm = _CMatrix(*this); PIMM_FOR_WB(r, c) tm.m[r][c] += sm.m[r][c]; return tm;}
/**
* @brief Matrix substraction
*
* @param sm is matrix subtractor
* @return the result of matrix substraction
*/
/**
* @brief Matrix substraction
*
* @param sm is matrix subtractor
* @return the result of matrix substraction
*/
_CMatrix operator -(const _CMatrix & sm) const {_CMatrix tm = _CMatrix(*this); PIMM_FOR_WB(r, c) tm.m[r][c] -= sm.m[r][c]; return tm;}
/**
* @brief Matrix multiplication
*
* @param v is value factor
* @return the result of matrix multiplication
*/
/**
* @brief Matrix multiplication
*
* @param v is value factor
* @return the result of matrix multiplication
*/
_CMatrix operator *(const Type & v) const {_CMatrix tm = _CMatrix(*this); PIMM_FOR_WB(r, c) tm.m[r][c] *= v; return tm;}
/**
* @brief Matrix division
*
* @param v is value divider
* @return the result of matrix division
*/
/**
* @brief Matrix division
*
* @param v is value divider
* @return the result of matrix division
*/
_CMatrix operator /(const Type & v) const {_CMatrix tm = _CMatrix(*this); PIMM_FOR_WB(r, c) tm.m[r][c] /= v; return tm;}
/**
* @brief Determinant of the matrix is ​​calculated
*
* @return matrix determinant
*/
/**
* @brief Determinant of the matrix is ​​calculated
*
* @return matrix determinant
*/
Type determinant(bool * ok = 0) const {
_CMatrix m(*this);
bool k;
@@ -381,11 +388,11 @@ public:
return ret;
}
/**
* @brief Transforming matrix to upper triangular
*
* @return transformed upper triangular matrix
*/
/**
* @brief Transforming matrix to upper triangular
*
* @return transformed upper triangular matrix
*/
_CMatrix & toUpperTriangular(bool * ok = 0) {
if (Cols != Rows) {
if (ok != 0) *ok = false;
@@ -423,11 +430,11 @@ public:
return *this;
}
/**
* @brief Matrix inversion operation
*
* @return inverted matrix
*/
/**
* @brief Matrix inversion operation
*
* @return inverted matrix
*/
_CMatrix & invert(bool * ok = 0) {
static_assert(Cols == Rows, "Only square matrix invertable");
_CMatrix mtmp = _CMatrix::identity(), smat(*this);
@@ -476,18 +483,18 @@ public:
return *this;
}
/**
* @brief Matrix inversion operation
*
* @return inverted matrix
*/
/**
* @brief Matrix inversion operation
*
* @return inverted matrix
*/
_CMatrix inverted(bool * ok = 0) const {_CMatrix tm(*this); tm.invert(ok); return tm;}
/**
* @brief Matrix transposition operation
*
* @return transposed matrix
*/
/**
* @brief Matrix transposition operation
*
* @return transposed matrix
*/
_CMatrixI transposed() const {_CMatrixI tm; PIMM_FOR_WB(r, c) tm[c][r] = m[r][c]; return tm;}
private:
@@ -614,199 +621,199 @@ public:
PIMathMatrix(const PIVector<PIVector<Type> > & val) {if(!val.isEmpty()) {_V2D::resize(val.size(), val[0].size()); PIMM_FOR_I(c, r) _V2D::element(r, c) = val[r][c];}}
PIMathMatrix(const PIVector2D<Type> & val) {if(!val.isEmpty()) {_V2D::resize(val.rows(), val.cols()); PIMM_FOR_I(c, r) _V2D::element(r, c) = val.element(r, c);}}
/**
* @brief Сreates a matrix whose main diagonal is filled with ones and the remaining elements are zeros
*
* @param cols is number of matrix column uint type
* @param rows is number of matrix row uint type
* @return identitied matrix of type PIMathMatrix
*/
/**
* @brief Сreates a matrix whose main diagonal is filled with ones and the remaining elements are zeros
*
* @param cols is number of matrix column uint type
* @param rows is number of matrix row uint type
* @return identitied matrix of type PIMathMatrix
*/
static _CMatrix identity(const uint cols, const uint rows) {_CMatrix tm(cols, rows); for (uint r = 0; r < rows; ++r) for (uint c = 0; c < cols; ++c) tm.element(r, c) = (c == r ? Type(1) : Type(0)); return tm;}
/**
* @brief Сreates a matrix whose row equal to vector
*
* @param val is the vector type PIMathVector
* @return matrix identitied by vector
*/
static _CMatrix matrixRow(const PIMathVector<Type> & val) {return _CMatrix(val.size(), 1, val.toVector());}
/**
* @brief Сreates a matrix whose row equal to vector
*
* @param val is the vector type PIMathVector
* @return matrix identitied by vector
*/
static _CMatrix matrixRow(const PIMathVector<Type> & val) {return _CMatrix(val.size(), 1, val.toVector());}
/**
* @brief Сreates a matrix whose column equal to vector
*
* @param val is the vector type PIMathVector
* @return matrix identitied by vector
*/
/**
* @brief Сreates a matrix whose column equal to vector
*
* @param val is the vector type PIMathVector
* @return matrix identitied by vector
*/
static _CMatrix matrixCol(const PIMathVector<Type> & val) {return _CMatrix(1, val.size(), val.toVector());}
/**
* @brief Set the selected column in matrix
*
* @param index is the number of the selected column
* @param v is a vector of the type _CMCol that needs to fill the column
* @return matrix type _CMatrix
*/
/**
* @brief Set the selected column in matrix
*
* @param index is the number of the selected column
* @param v is a vector of the type _CMCol that needs to fill the column
* @return matrix type _CMatrix
*/
_CMatrix & setCol(uint index, const _CMCol & v) {PIMM_FOR_R(i) _V2D::element(i, index) = v[i]; return *this;}
/**
* @brief Set the selected row in matrix
*
* @param index is the number of the selected row
* @param v is a vector of the type _CMCol that needs to fill the row
* @return matrix type _CMatrix
*/
/**
* @brief Set the selected row in matrix
*
* @param index is the number of the selected row
* @param v is a vector of the type _CMCol that needs to fill the row
* @return matrix type _CMatrix
*/
_CMatrix & setRow(uint index, const _CMCol & v) {PIMM_FOR_C(i) _V2D::element(index, i) = v[i]; return *this;}
/**
* @brief Method which changes selected rows in a matrix
*
* @param r0 is the number of the first selected row
* @param r1 is the number of the second selected row
* @return matrix type _CMatrix
*/
/**
* @brief Method which changes selected rows in a matrix
*
* @param r0 is the number of the first selected row
* @param r1 is the number of the second selected row
* @return matrix type _CMatrix
*/
_CMatrix & swapCols(uint r0, uint r1) {PIMM_FOR_C(i) {piSwap(_V2D::element(i, r0), _V2D::element(i, r1));} return *this;}
/**
* @brief Method which changes selected columns in a matrix
*
* @param c0 is the number of the first selected column
* @param c1 is the number of the second selected column
* @return matrix type _CMatrix
*/
/**
* @brief Method which changes selected columns in a matrix
*
* @param c0 is the number of the first selected column
* @param c1 is the number of the second selected column
* @return matrix type _CMatrix
*/
_CMatrix & swapRows(uint c0, uint c1) {PIMM_FOR_R(i) {piSwap(_V2D::element(c0, i), _V2D::element(c1, i));} return *this;}
/**
* @brief Method which fills the matrix with selected value
*
* @param v is a parameter the type and value of which is selected and later filled into the matrix
* @return filled matrix type _CMatrix
*/
/**
* @brief Method which fills the matrix with selected value
*
* @param v is a parameter the type and value of which is selected and later filled into the matrix
* @return filled matrix type _CMatrix
*/
_CMatrix & fill(const Type & v) {PIMM_FOR_A(i) _V2D::mat[i] = v; return *this;}
/**
* @brief Method which checks if matrix is square
*
* @return true if matrix is square, else false
*/
/**
* @brief Method which checks if matrix is square
*
* @return true if matrix is square, else false
*/
bool isSquare() const {return _V2D::cols_ == _V2D::rows_;}
/**
* @brief Method which checks if main diagonal of matrix consists of ones and another elements are zeros
*
* @return true if matrix is identitied, else false
*/
/**
* @brief Method which checks if main diagonal of matrix consists of ones and another elements are zeros
*
* @return true if matrix is identitied, else false
*/
bool isIdentity() const {PIMM_FOR(c, r) if ((c == r) ? _V2D::element(r, c) != Type(1) : _V2D::element(r, c) != Type(0)) return false; return true;}
/**
* @brief Method which checks if every elements of matrix are zeros
*
* @return true if matrix is null, else false
*/
/**
* @brief Method which checks if every elements of matrix are zeros
*
* @return true if matrix is null, else false
*/
bool isNull() const {PIMM_FOR_A(i) if (_V2D::mat[i] != Type(0)) return false; return true;}
/**
* @brief Method which checks if matrix is empty
*
* @return true if matrix is valid, else false
*/
/**
* @brief Method which checks if matrix is empty
*
* @return true if matrix is valid, else false
*/
bool isValid() const {return !PIVector2D<Type>::isEmpty();}
/**
* @brief Matrix assignment to matrix "v"
*
* @param v matrix for the assigment
* @return matrix equal with v
*/
/**
* @brief Matrix assignment to matrix "v"
*
* @param v matrix for the assigment
* @return matrix equal with v
*/
_CMatrix & operator =(const PIVector<PIVector<Type> > & v) {*this = _CMatrix(v); return *this;}
/**
* @brief Compare with matrix "sm"
*
* @param sm matrix for the compare
* @return if matrices are equal true, else false
*/
/**
* @brief Compare with matrix "sm"
*
* @param sm matrix for the compare
* @return if matrices are equal true, else false
*/
bool operator ==(const _CMatrix & sm) const {PIMM_FOR_A(i) if (_V2D::mat[i] != sm.mat[i]) return false; return true;}
/**
* @brief Compare with matrix "sm"
*
* @param sm matrix for the compare
* @return if matrices are not equal true, else false
*/
/**
* @brief Compare with matrix "sm"
*
* @param sm matrix for the compare
* @return if matrices are not equal true, else false
*/
bool operator !=(const _CMatrix & sm) const {return !(*this == sm);}
/**
* @brief Addition assignment with matrix "sm"
*
* @param sm matrix for the addition assigment
*/
/**
* @brief Addition assignment with matrix "sm"
*
* @param sm matrix for the addition assigment
*/
void operator +=(const _CMatrix & sm) {PIMM_FOR_A(i) _V2D::mat[i] += sm.mat[i];}
/**
* @brief Subtraction assignment with matrix "sm"
*
* @param sm matrix for the subtraction assigment
*/
/**
* @brief Subtraction assignment with matrix "sm"
*
* @param sm matrix for the subtraction assigment
*/
void operator -=(const _CMatrix & sm) {PIMM_FOR_A(i) _V2D::mat[i] -= sm.mat[i];}
/**
* @brief Multiplication assignment with value "v"
*
* @param v value for the multiplication assigment
*/
/**
* @brief Multiplication assignment with value "v"
*
* @param v value for the multiplication assigment
*/
void operator *=(const Type & v) {PIMM_FOR_A(i) _V2D::mat[i] *= v;}
/**
* @brief Division assignment with value "v"
*
* @param v value for the division assigment
*/
/**
* @brief Division assignment with value "v"
*
* @param v value for the division assigment
*/
void operator /=(const Type & v) {PIMM_FOR_A(i) _V2D::mat[i] /= v;}
/**
* @brief Matrix substraction
*
* @return the result of matrix substraction
*/
/**
* @brief Matrix substraction
*
* @return the result of matrix substraction
*/
_CMatrix operator -() const {_CMatrix tm(*this); PIMM_FOR_A(i) tm.mat[i] = -_V2D::mat[i]; return tm;}
/**
* @brief Matrix addition
*
* @param sm is matrix term
* @return the result of matrix addition
*/
/**
* @brief Matrix addition
*
* @param sm is matrix term
* @return the result of matrix addition
*/
_CMatrix operator +(const _CMatrix & sm) const {_CMatrix tm(*this); PIMM_FOR_A(i) tm.mat[i] += sm.mat[i]; return tm;}
/**
* @brief Matrix substraction
*
* @param sm is matrix subtractor
* @return the result of matrix substraction
*/
/**
* @brief Matrix substraction
*
* @param sm is matrix subtractor
* @return the result of matrix substraction
*/
_CMatrix operator -(const _CMatrix & sm) const {_CMatrix tm(*this); PIMM_FOR_A(i) tm.mat[i] -= sm.mat[i]; return tm;}
/**
* @brief Matrix multiplication
*
* @param v is value factor
* @return the result of matrix multiplication
*/
/**
* @brief Matrix multiplication
*
* @param v is value factor
* @return the result of matrix multiplication
*/
_CMatrix operator *(const Type & v) const {_CMatrix tm(*this); PIMM_FOR_A(i) tm.mat[i] *= v; return tm;}
/**
* @brief Matrix division
*
* @param v is value divider
* @return the result of matrix division
*/
/**
* @brief Matrix division
*
* @param v is value divider
* @return the result of matrix division
*/
_CMatrix operator /(const Type & v) const {_CMatrix tm(*this); PIMM_FOR_A(i) tm.mat[i] /= v; return tm;}
/**
* @brief Determinant of the matrix is ​​calculated
*
* @return matrix determinant
*/
/**
* @brief Determinant of the matrix is ​​calculated
*
* @return matrix determinant
*/
Type determinant(bool * ok = 0) const {
_CMatrix m(*this);
bool k;
@@ -822,11 +829,11 @@ public:
return ret;
}
/**
* @brief Trace of the matrix is calculated
*
* @return matrix trace
*/
/**
* @brief Trace of the matrix is calculated
*
* @return matrix trace
*/
Type trace(bool * ok = 0) const {
Type ret = Type(0);
if (!isSquare()) {
@@ -840,11 +847,11 @@ public:
return ret;
}
/**
* @brief Transforming matrix to upper triangular
*
* @return transformed upper triangular matrix
*/
/**
* @brief Transforming matrix to upper triangular
*
* @return transformed upper triangular matrix
*/
_CMatrix & toUpperTriangular(bool * ok = 0) {
if (!isSquare()) {
if (ok != 0) *ok = false;
@@ -882,11 +889,11 @@ public:
return *this;
}
/**
* @brief Matrix inversion operation
*
* @return inverted matrix
*/
/**
* @brief Matrix inversion operation
*
* @return inverted matrix
*/
_CMatrix & invert(bool * ok = 0, _CMCol * sv = 0) {
if (!isSquare()) {
if (ok != 0) *ok = false;
@@ -942,18 +949,18 @@ public:
return *this;
}
/**
* @brief Matrix inversion operation
*
* @return inverted matrix
*/
/**
* @brief Matrix inversion operation
*
* @return inverted matrix
*/
_CMatrix inverted(bool * ok = 0) const {_CMatrix tm(*this); tm.invert(ok); return tm;}
/**
* @brief Matrix transposition operation
*
* @return transposed matrix
*/
/**
* @brief Matrix transposition operation
*
* @return transposed matrix
*/
_CMatrix transposed() const {_CMatrix tm(_V2D::rows_, _V2D::cols_); PIMM_FOR(c, r) tm.element(c, r) = _V2D::element(r, c); return tm;}
};